College Algebra

ISBN-10: 0534405991
ISBN-13: 9780534405991
Edition: 4th 2004 (Revised)
List price: $369.95
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Description: James Stewart, author of the worldwide, best-selling Calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this text to address a problem they frequently saw in their calculus courses:  More...

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Book details

List price: $369.95
Edition: 4th
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 11/6/2003
Binding: Hardcover
Pages: 816
Size: 8.25" wide x 10.00" long x 1.50" tall
Weight: 3.960
Language: English

James Stewart, author of the worldwide, best-selling Calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this text to address a problem they frequently saw in their calculus courses: many students were not prepared to think mathematically but attempted instead to memorize facts and mimic examples. College Algebra was written specifically to help students learn to think mathematically and to develop true problem-solving skills. This comprehensive, evenly paced book highlights the authors' commitment to encouraging conceptual understanding. To implement this goal, Stewart, Redlin, and Watson incorporate technology, the rule of four, real-world applications, and extended projects and writing exercises to enhance a central core of fundamental skills.

Preface
To the Student
Calculators and Calculations
Prerequisites
Chapter Overview
Modeling the Real World
Real Numbers
Integer Exponents
Rational Exponents and Radicals
Algebraic Expressions
Discovery Project: Visualizing a Formula
Factoring
Rational Expressions
Chapter P Review
Chapter P Test
Focus on Problem Solving: General Principles
Equations and Inequalities
Chapter Overview
Basic Equations
Modeling with Equations
Discovery Project: Equations through the Ages
Quadratic Equations
Complex Numbers
Other Types of Equations
Inequalities
Absolute Value Equations and Inequalities
Chapter 1 Review
Chapter 1 Test
Focus on Modeling: Making the Best Decisions
Coordinates and Graphs
Chapter Overview
The Coordinate Plane
Discovery Project: Visualizing Data
Graphs of Equations in Two Variables
Graphing Calculators; Solving Equations and Inequalitie Graphically
Lines
Modeling: Variation
Chapter 2 Review
Chapter 2 Test
Focus on Modeling: Fitting Lines to Data
Functions
Chapter Overview
What Is a Function?
Graphs of Functions
Increasing and Decreasing Functions; Average Rate of Change
Transformations of Functions
Quadratic Functions; Maxima and Minima
Combining Functions
Discovery Project: Iteration and Chaos
One-to-One Functions and Their Inverses
Chapter 3 Review
Chapter 3 Test
Focus on Modeling: Modeling with Functions
Polynomial and Rational Functions
Chapter Overview
Polynomial Functions and Their Graphs
Dividing Polynomials
Real Zeros of Polynomials
Discovery Project: Zeroing in on a Zero
Complex Zeros and the Fundamental Theorem of Algebra
Rational Functions
Chapter 4 Review
Chapter 4 Test
Focus on Modeling: Fitting Polynomial Curves to Data
Exponential and Logarithmic Functions
Chapter Overview
Exponential Functions
Discovery Project: Exponential Explosion
Logarithmic Functions
Laws of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Functions
Chapter 5 Review
Chapter 5 Test
Focus on Modeling: Fitting Exponential and Power Curves to Data
Systems of Equations and Inequalities
Chapter Overview
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Several Variables
Discovery Project: Exact Fit versus Best Fit
Systems of Inequalities
Partial Fractions
Chapter 6 Review
Chapter 6 Test
Focus on Modeling: Linear Programming
Matrices and Determinants
Chapter Overview
Matrices and Systems of Linear Equations
The Algebra of Matrices
Discovery Project: Will the Species Survive?
Inverses of Matrices and Matrix Equations
Determinants and Cramer's Rule
Chapter 7 Review
Chapter 7 Test
Focus on Modeling: Computer Graphics
Conic Sections
Chapter Overview
Parabolas
Discovery Project: Rolling Down a Ramp
Ellipses
Hyperbolas
Shifted Conics
Chapter 8 Review
Chapter 8 Test
Focus on Modeling: Conics in Architecture
Sequences and Series
Chapter Overview
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Discovery Project: Finding Patterns
Mathematics of Finance
Mathematical Induction
The Binomial Theorem
Chapter 9 Review
Chapter 9 Test
Focus on Modeling: Modeling with Recursive Sequences
Counting and Probability
Chapter Overview
Counting Principles
Permutations and Combinations
Probability
Discovery Project: Small Samples, Big Results
Binomial Probability
Expected Value
Chapter 10 Review
Chapter 10 Test
Focus on Modeling: The Monte Carlo Method
Answers
Index
Photo Credits

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